Multi-scale topology optimization for stiffness and de-homogenization using implicit geometry modeling

J. P. Groen*, C. R. Thomsen, O. Sigmund

*Corresponding author for this work

    Research output: Contribution to journalJournal articleResearchpeer-review

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    In this article, we demonstrate the state-of-the-art of multi-scale topology optimization for 3D structural design. Many structures designed for additive manufacturing consist of a solid shell surrounding repeated microstructures, so-called infill material. We demonstrate the performance of different types of infill microstructures, such as isotropic truss or plate lattice structures and show that the best results can be obtained using spatially varying and oriented orthotropic microstructures. Furthermore, we demonstrate how implicit geometry modeling using nTop platform can help to interpret these multi-scale designs as single-scale manufacturable designs (de-homogenization). More importantly, we demonstrate the small difference in performance between these multi-scale and single-scale designs through extensive numerical testing. The presented method is at least 3 orders of magnitude more efficient compared to standard density-based topology optimization, allowing for high-resolution 3D structures to be obtained on a standard workstation PC.

    Original languageEnglish
    JournalStructural and Multidisciplinary Optimization
    Pages (from-to)2919–2934
    Publication statusPublished - 2021


    • De-homogenization
    • Implicit geometry
    • Microstructures
    • Topology optimization


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